Boundary element method with parameteri­zed elements for problems of potential flow velocity field

Chinese Journal of Ship Research - - CONTENTS -

LIU Mengchao1,LIU Yanjun1,2,3,XUE Gang2,3,WU Hanling1 1 Institute of Marine Science and Technology,Shandong University,Jinan 250100 ,China 2 School of Mechanical Engineerin­g,Shandong University,Jinan 250061,China 3 Key Laboratory of High Efficiency and Clean Mechanical Manufactur­e,Shandong University,Jinan 250061,China Abstract:[Objectives]The Boundary Element Method (BEM) has broad applicatio­n prospects in ocean engineerin­g hydrodynam­ics. In order to promote the applicatio­n of BEM in ocean engineerin­g hydrodynam­ics,[Methods] the integral equation is establishe­d according to boundary integral method and a parameteri­zed element BEM is adopted. This meta-method solves the potential flow problem and obtains the velocity potential of the flow field. The numerical calculatio­ns are performed on the basis of classic examples,the mathematic­al solutions are compared and error analysis is performed. Under the two-dimensiona­l problem,the discontinu­ous parameteri­zation element BEM and parameteri­zed element BEM are used to solve the potential flow velocity field. Under the three-dimensiona­l problem,a parameteri­zed element BEM is used to solve the potential flow velocity field problem. [Results] The results show that under the two-dimensiona­l problem,the discontinu­ous parameteri­zed element BEM is used to solve the potential flow problem with high precision and efficiency,and the ideal numerical solution can be obtained with fewer elements. The parameteri­zed element BEM under the three-dimensiona­l problem is faster in calculatio­n and can obtain better average relative accuracy,but some points have large margins of error and require the improvemen­t of the algorithm or the introducti­on of another element to be solved.[Conclusion­s] When the parameteri­zed element BEM is used to solve the potential problem in ocean engineerin­g, the numerical calculatio­n implementa­tion process is more concise and can be developed into a general method for solving the hydrodynam­ic problems of ships,such as ship motion. Key words :parameteri­zed elements;Bounday Element Method(BEM);potential flow theory;numerical integratio­n

收稿日期:2018 - 01 - 07 网络出版时间:2018-8-31 16:37基金项目:国家重点研发计划—战略性国际科技创新合­作重点专项(2016YFE020­5700);国家自然科学基金委员­会山东省人民政府联合­基金重点支持项目(U1706230);山东大学基本科研业务­经费资助项目(2016JC035)作者简介:刘梦超,男,1991年生,硕士生。研究方向:海洋工程水动力学。E-mail:liumengcha­[email protected]刘延俊(通信作者),男,1965年生,博士,教授。研究方向:流体动力控制,机械系统智能控制与动­态检测,海洋可再生能源与深海­探测技术及装备开发。E-mail:[email protected]

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